092:15 PMEach month, henry weeds gardens for 15 hours and mows lawns for x hours.For each job, he is paid $9 per hour. He wants
to earn at least $252 per month.Write an inequality to model this situation. Solve and interpret the solution.
1 answer:
We know that he weeds gardens for 15 hours, and mows lawns for x hours.
If he wants to earn $252 per month, we can express the following
![9\cdot15+9x\ge252](https://tex.z-dn.net/?f=9%5Ccdot15%2B9x%5Cge252)
Now, we solve for x
![\begin{gathered} 135+9x\ge252 \\ 9x\ge252-135 \\ 9x\ge117 \\ x\ge\frac{117}{9} \\ x\ge13 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20135%2B9x%5Cge252%20%5C%5C%209x%5Cge252-135%20%5C%5C%209x%5Cge117%20%5C%5C%20x%5Cge%5Cfrac%7B117%7D%7B9%7D%20%5C%5C%20x%5Cge13%20%5Cend%7Bgathered%7D)
<h2>Hence, he has to mow lawns for 13 hours to earn at least $252.</h2>
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